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13430664 = 2333134783
BaseRepresentation
bin110011001110…
…111110001000
3221021100102000
4303032332020
511414240124
61155511000
7222105312
oct63167610
927240360
1013430664
117643725
1245b8460
132a23250
141ad87b2
1512a46c9
hexccef88

13430664 has 64 divisors (see below), whose sum is σ = 40185600. Its totient is φ = 4131648.

The previous prime is 13430647. The next prime is 13430671. The reversal of 13430664 is 46603431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 213430664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092800).

13430664 is an abundant number, since it is smaller than the sum of its proper divisors (26754936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13430664 is a wasteful number, since it uses less digits than its factorization.

13430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 13430664 is about 3664.7870333759. The cubic root of 13430664 is about 237.7018133194.

The spelling of 13430664 in words is "thirteen million, four hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 4783 9566 14349 19132 28698 38264 43047 57396 62179 86094 114792 124358 129141 172188 186537 248716 258282 344376 373074 497432 516564 559611 746148 1033128 1119222 1492296 1678833 2238444 3357666 4476888 6715332 13430664